A method is disclosed for electroforming metal screen. The method deposits photoresist over a mandrel, and then exposes the photoresist with light through a plurality of openings in a photo tool to form hardened resist pillars. Unexposed photoresist is removed without affecting the resist pillars. The method then electroforms the metal screen in areas free of the hardened resist pillars such that the metal screen forms apertures defined by each of the resist pillars, a space between at least two of the resist pillars defining a support bar that forms at a reduced thickness as compared to portions of the metal screen that are not between the resist pillars. Finally, the method detaches the metal screen from the mandrel.
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1. A method of forming screens for printing electrodes onto a solar cell, comprising:
electroforming a first metal screen defining (a) first apertures oriented along a widthwise dimension of the first metal screen and configured to accept a first conductive paste to print finger electrodes onto the solar cell, and (b) at each of the first apertures one or more first support bars crossing the first aperture in a lengthwise dimension of the first metal screen; and
electroforming a second metal screen defining one or more second apertures configured to accept a second conductive paste to print one or more buss bars onto the solar cell such that the buss bars cover gaps between the finger electrodes caused by the first support bars.
9. A method of screen printing electrodes onto a solar cell, comprising:
printing finger electrodes onto the solar cell utilizing a first metal screen having first apertures defined therein for printing of the finger electrodes through the first apertures, each first aperture being oriented along a widthwise dimension of the first metal screen and being interrupted by (a) two or more large support bars crossing the first aperture, and (b) equidistantly between each pair of adjacent large support bars crossing each first aperture, one small support bar crossing the first aperture; and
printing buss bars onto the solar cell utilizing a second metal screen having second apertures defined therein for printing of the buss bars through the second apertures, the buss bars covering gaps between the finger electrodes caused by the large support bars.
2. The method of
3. The method of
forming a plurality of the first support bars for each first aperture; and
forming, equidistantly between pairs of adjacent first support bars crossing each first aperture, a second support bar crossing the first aperture in the lengthwise dimension.
4. The method of
forming dummy apertures in nonprinting areas of the first metal screen, the nonprinting areas being closer to edges of the first metal screen than the first apertures in a direction of tension of the screen; and
covering the dummy open areas with an emulsion.
5. The method of
printing the finger electrodes onto the solar cell utilizing the first metal screen and the first conductive paste; and
printing the buss bars onto the solar cell utilizing the second metal screen and the second conductive paste.
6. The method of
7. The method of
in the step of electroforming the first metal screen, forming the first metal screen on a mandrel with a mandrel side of the first metal screen facing the mandrel;
removing the first metal screen from the mandrel; and
in the step of printing the finger electrodes, contacting the mandrel side of the first metal screen to the solar cell.
8. The method of
10. The method of
11. The method of
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This application claims priority to U.S. Provisional Patent Applications Nos. 61/596,580, filed 8 Feb. 2012 and entitled Electroformed Accuscreen and 61/694,537, filed 29 Aug. 2012 and entitled Screen Printing Apparatus Including Support Bars, and Methods of Using Same. The above-identified patent applications are hereby incorporated by reference in their entireties.
Photovoltaic (PV) power generation is a method of generating electrical power by converting solar radiation into direct current electricity using semiconductors that exhibit the photovoltaic effect. Photovoltaic power generation employs solar panels composed of a number of cells (called “solar cells” herein) containing a photovoltaic material. Cell materials include monocrystalline silicon, polycrystalline silicon, amorphous silicon, cadmium telluride, and copper indium gallium selenide/sulfide (CIGS). Due to the growing demand for renewable energy sources, manufacturing of solar cells and photovoltaic arrays has advanced considerably in recent years. Solar cells include thin film solar cells and crystalline solar cells. Thin film solar cells are normally much larger than crystalline cells. Both crystalline solar cells and thin film solar cells include an electrode structure that collects electrons freed by photon impingement on the solar cell. The electrode structure includes finger electrodes and buss electrodes. Generally, the buss electrodes are much larger than the finger electrodes.
Thick film screens made with woven stainless steel wires are conventionally used to form solar cell electrode structures, which are often referred to as prints. A printing process produces the prints by using conductive paste or ink printed through the thick film screens (the conductive material will be called “paste” herein; it is understood that the teachings herein are equally applicable to use of thinner conductive material that may be called “ink”). A typical screen for solar printing is 325 mesh with a 0.9 mils wire diameter. The thick film screen mesh wire may stretch during printing life cycles such that printed images may distort. Thick film screens typically have an open print area of about 42%, with the best screens having an open print area of about 50%. Typical thick film screens have a base wet print thickness of about 1 mil. A common emulsion (used to block the transfer of paste in areas that are not to be printed) is about 0.5 mils thick and requires the wet print thickness to be about 1.5 mils.
As solar cells become larger and finger electrodes become smaller, thick film screens run into some limitations. When the widths of the finger electrodes approach 50 μm to 75 μm (about 2 to 3 mils), the wire diameter of the thick film screens becomes an issue in print line definition. The mesh structure becomes a greater portion of the open line width, leading to sawtooth edges where images formed by the mesh wires intersect with the intended edge. A practical limit for line resolution in the thick film screens is about 3 mils wide. As the area of the printed image gets larger, trampoline screens are required to provide precise mounting and uniform tension. However, trampoline screens are very expensive and prone to distortion during their printing life cycles. Screens can also deform under tension throughout their useful lives, leading to dimensional instability.
There remains a need for developing new screens and processes to resolve issues associated with thick film screens and trampoline screens. A simple wish list for an advanced screening technique is that sawtooth edges should be eliminated, the percentage of open area in printed areas should increase, and the image should be dimensionally stable throughout its useful life.
In an embodiment, a method is disclosed for electroforming metal screen. The method deposits photoresist over a mandrel, and then exposes the photoresist with light through a plurality of openings in a photo tool to form hardened resist pillars. Unexposed photoresist is removed without affecting the resist pillars. The method then electroforms the metal screen in areas free of the hardened resist pillars such that the metal screen forms apertures defined by each of the resist pillars, a space between at least two of the resist pillars defining a support bar that forms at a reduced thickness as compared to portions of the metal screen that are not between the resist pillars. Finally, the method detaches the metal screen from the mandrel.
In an embodiment, a method is provided for fabricating electrodes of solar cells. The method includes electroforming a metal screen that forms a plurality of finger apertures therethrough, the metal screen including support bars that cross the finger apertures; placing the metal screen over a substrate of the solar cells; printing conductive paste through the finger apertures of the metal screen; and solidifying the conductive paste to form the electrodes.
In an embodiment, a method is provided for electroforming a metal screen. The method includes forming photoresist features on a conductive mandrel; electroforming a first metal layer on the mandrel, the first metal layer forming a plurality of finger apertures defined by the photoresist features, the first metal layer including support bars across the finger apertures at intervals; and detaching the metal screen from the mandrel.
In an embodiment, a metal screen is provided for printing solar cells. The metal screen includes a metal layer forming a plurality of finger apertures and a plurality of support bars spaced apart in a first direction, wherein the support bars are formed across the finger apertures in a second direction substantially perpendicular to the first direction.
In an embodiment, a metal screen is provided for printing solar cells. The metal screen includes a metal layer having a plurality of support bars spaced apart in a first direction and a first plurality of finger apertures, and an emulsion layer disposed over the metal layer. The emulsion layer has a second plurality of finger apertures aligned with the first plurality of finger apertures of the metal layer in the first direction, wherein the support bars cross the first plurality of finger apertures in a second direction that is substantially perpendicular to the first direction.
In an embodiment, a method is provided for forming screens for printing finger electrodes onto a solar cell. The method includes electroforming a first metal screen having finger electrode features defined therein, each finger electrode feature forming an open printing area across the width of the screen except for one or more first support bars that cross the finger electrode features in a region corresponding to one or more buss bars of the solar cell. The method also includes electroforming a second metal screen having features defined therein corresponding to the one or more buss bars.
In an embodiment, a method of screen printing electrodes onto a solar cell is provided, including printing finger electrodes onto the solar cell utilizing a first metal screen having finger electrode features defined therein, each finger electrode feature forming an open printing area across the width of the screen except for one or more large support bars, each support bar crossing the open printing area in a region corresponding to a buss bar of the solar cell, and one small support bar crossing the open printing area between and equidistantly from each pair of the buss bars in the solar cell. The method also includes printing buss bars onto the solar cell utilizing a second metal screen having buss bar features defined therein.
In an embodiment, a method is provided for electroforming a metal screen. The method includes forming a photo tool with a pattern having a number of openings. The method also includes depositing a photoresist layer over a mandrel and placing the photo tool over the photoresist layer. The method further includes exposing the photoresist layer to a collimated light through the plurality of openings to form hardened resist pillars. The method also includes removing a portion of the photoresist layer being unexposed to the light to leave the resist pillars over the mandrel. The method further includes electroforming a metal layer in areas of the removed portion of photoresist layer and peeling off the metal layer from the mandrel. The metal layer has a plurality of finger apertures interleaved with a plurality of support bars, each support bar being formed between two respective resist pillars such that the support bars have a lower height than the finger apertures.
In an embodiment, a method for fabricating electrodes of solar cells is provided. The method includes electroforming a metal screen with a plurality of finger apertures and support bars. The method also includes placing the metal screen over a substrate with photo cells. The method further includes printing conductive paste through the finger apertures of the metal screen, and solidifying the conductive paste to form electrodes over the substrate.
In an embodiment, a method is provided for electroforming a metal sheet. The method includes forming a photo tool with a pattern having a plurality of openings. The method also includes electroforming a first metal layer over a mandrel, the first metal layer having a pattern for a plurality of support bars and finger apertures. The method also includes depositing a photoresist layer over the first metal layer. The method further includes aligning the plurality of the openings of the photo tool over the photoresist layer with the pattern for the plurality of finger apertures of the first metal layer, and exposing the photoresist layer to a collimated light through the plurality of openings to form hardened resist pillars. The method still includes removing a portion of the photoresist layer being unexposed to the light to leave the resist pillars over the first metal layer, and forming a second metal layer in areas of the removed portion of photoresist layer. The method further includes peeling off the metal sheet including the first and second metal layers from the mandrel.
In an embodiment, a metal screen is provided for printing solar cells. The metal screen includes a metal layer having a plurality of finger apertures and a plurality of support bars spaced apart in a first direction. The support bars are interleaved with the finger apertures in a second direction substantially perpendicular to the first direction.
In an embodiment, a metal screen is provided for printing solar cells. The metal screen includes a metal layer having a plurality of support bars spaced apart in a first direction and a first plurality of finger apertures. The metal screen also includes an emulsion layer disposed over the metal layer. The emulsion layer has a second plurality of finger apertures aligned with the first plurality of finger apertures of the first metal layer in the first direction. The support bars are interleaved with the first plurality of finger apertures in a second direction substantially perpendicular to the first direction.
In an embodiment, a method of forming screens for printing electrodes onto a solar cell includes electroforming a first metal screen having finger electrode features defined therein, each finger electrode feature forming an open printing area across the width of the screen except for one or more first support bars that cross the finger electrode features in a region corresponding to one or more buss bars of the solar cell, and electroforming a second metal screen having features defined therein corresponding to the one or more buss bars.
In an embodiment, a method of screen printing electrodes onto a solar cell includes printing finger electrodes onto the solar cell utilizing a first metal screen having finger electrode features defined therein, each finger electrode feature forming an open printing area across the width of the screen except for one or more large support bars, each support bar crossing the open printing area in a region corresponding to a buss bar of the solar cell, and one small support bar crossing the open printing area between and equidistantly from each pair of the buss bars in the solar cell. The method also includes printing buss bars onto the solar cell utilizing a second metal screen having buss bar features defined therein.
In an embodiment, a screen for printing electrodes onto a solar cell includes a metal foil having finger electrode apertures defined therein, each finger electrode aperture forming an open printing area across the width of the screen except for one or more first support bars, each support bar crossing the open printing area in a region corresponding to a buss bar of the solar cell.
Additional embodiments and features are set forth in the description that follows, and still other embodiments will become apparent to those skilled in the art upon examination of the specification or may be learned by the practice of the invention.
Illustrative embodiments of the present invention are described in detail below with reference to the attached drawings.
The present disclosure may be understood by reference to the following detailed description, taken in conjunction with the drawings as described below. It is noted that, for purposes of illustrative clarity, certain elements in the drawings may not be drawn to scale. Reference numbers for items that appear multiple times may be omitted for clarity. Where possible, the same reference numbers are used throughout the drawings and the following description to refer to the same or similar parts.
This disclosure advances the art by providing a cost effective method for fabricating electroformed screens for use in screen printing. Certain electroformed screens are made and sold under the trade name “AccuScreen.”
In one embodiment, an electroformed product includes support bars that are formed across narrow apertures to allow up to about 90% open print area. The support bars are narrow, such that conductive paste printed on both sides of the support bar will merge together to form a continuous printed shape. When used for solar cell fabrication, this embodiment may have an electroformed mesh in areas that print wider buss bar electrodes, or may have support bars across the buss bar areas, like the narrow apertures. The narrow support bars facilitate large open print areas (about 90%) and thus provide better paste transfer and bleed under the support bar than prior art screens. In this embodiment, large open areas feature a flat solid metal foil webbing structure such that minimal dimensional distortion is expected during their print life cycle. Line widths of 2 mils are achievable with this embodiment.
Another embodiment is similar to the embodiment described above, except that an additional emulsion layer is added. (“Emulsion” is a substance that can be patterned so as to be present in certain areas and absent in other areas; emulsion can be for example photoresist. Typically, but not by way of limitation, “emulsion” is used to describe a substance that is present as a patterned layer in a finished screen suitable for screen printing, while “photoresist” is used to describe a photosensitive substance used as a temporary mask during fabrication of the screen.) The finger widths may are as small as 50 μm in some embodiments. Screens disclosed herein may be formed using a two-layer process, with at least one electroformed metal layer and a second layer that may also be metal or may be emulsion. The second layer, when present, provides clearance for support bars present in the first layer, to make it easier for conductive paste that is forced past the support bars and through the narrow apertures during printing to merge together to form a continuous printed shape.
In contrast, another embodiment may be electroformed by a single layer process and does not require aligning two layers like the above embodiment. The single layer process is generally easier and cheaper than a multi-layer process. In this embodiment, the support bars are of partial thickness, such that conductive paste that is forced past the support bars and through the narrow apertures during printing merges together to form a continuous printed shape.
The present disclosure provides methods and structures of electroformed screens and methods for fabricating electrodes over solar cells. Electroforming is a metal forming process that forms thin metal parts by an electroplating process. A part is produced by plating a thin metal layer, such as nickel or another electroplatable metal, around resist pillars on a conductive base form, commonly called a mandrel (photoresist is sometimes referred to a simply “resist” herein and has the same meaning). The mandrel is removed after plating. The mandrel is conductive and is made either of a metal or a non-conductive material covered with a conductive coating.
Metal layer 404 may be utilized as a support bar in electroformed stencils. It should be noted that the side of the plating shown in
By using the electroformed screen exemplified by portion 600, fine structures (e.g., electrode fingers) may be printed. The difference between the support bar height 606 and the metal layer thickness 608 is the gap that allows conductive paste to flow under the support bar 602 to form a continuous structure.
As disclosed herein, support bars may have a range of widths and heights that are related to finger aperture width and bulk metal thickness for electroformed screens, and resist thickness utilized to form the screens, as exemplified by portions 500 and portion 600. These dimensions scale together, because the photoresist that defines both the apertures and the support bars must be patterned with reasonable integrity, which urges a decreased photoresist thickness, but mechanical integrity of the electroformed metal improves with increased thickness, which requires a minimum photoresist thickness so that the metal does not begin to electroplate over top of the photoresist.
For example, to form an electroformed screen in one embodiment, that has an electroformed bulk metal thickness of 1.5 to 2 mils (e.g., in large areas where proximity to photoresist pillars does not apply) the photoresist must typically be at least about 2.4 mils thick to keep the metal from plating over the photoresist. Small finger aperture widths in the screen (defined by areas of exposed, hardened photoresist) of about 1 to 3 mils can be imaged in the photoresist with good pattern integrity, with support bars (spaces in the photoresist) of about 0.5 to 1 mil crossing the finger aperture shapes. During electroplating, support bars with heights of about 0.7 to 1.5 mils will form in the narrow support bar spaces, due to metal ion depletion in the narrow spaces, as opposed to the bulk metal thickness of 1.5 to 2 mils.
In another embodiment, that has an electroformed bulk metal thickness of 2 to 3 mils, the photoresist must typically be at least about 3.5 mils thick, the support bar width ranges from 0.7 mils to 1.2 mils, and the support bar height ranges from 1.1 mils to 2.4 mils. The finger width ranges from 1.5 mils to 3.5 mils. In a further embodiment, that has an electroformed bulk metal thickness of 2.5 to 3.5 mils, the photoresist must typically be at least about 4.2 mils thick, the support bar width ranges from 0.9 mils to 1.7 mils and the support bar height ranges from 2 mils to 3 mils. The finger width ranges from 2 mils to 4 mils.
Table 1 summarizes key dimensional ranges in the electroformed screens for the above embodiments having small, medium and large electrode fingers respectively. The bulk metal thickness of each embodiment sets a lower bound for the required photoresist thickness, while the finger widths require photoresist to be thin for good pattern integrity. The photoresist thickness sets a lower bound for both the finger width and support bar width. Below the finger width ranges indicated, the required photoresist thickness will have imprecise width control and/or will disappear completely. Above the finger width ranges indicated, the electrodes will be unnecessarily wide and will block more light than desirable for high solar cell efficiency. Below the support bar width ranges indicated, the required photoresist thickness will have imprecise width control and/or will not develop out to the bottom of the resist layer at the mandrel, such that support bars will not electroform at all. Above the support bar width ranges indicated, the support bars will become too thick to properly print under (the support bar areas will not be narrow enough to suppress electroplating due to metal ion depletion).
TABLE 1
Finger Width
Bulk Metal
Support Bar
Support Bar
(mils)
Thickness (mils)
width (mils)
Height (mils)
Small
1-3
1.5-2
.5-1
.7-1.5
Fingers
Medium
1.5-3.5
2-3
.7-1.2
1.1-2.4
Fingers
Large
2-4
2.5-3.5
.9-1.7
2-3
Fingers
It is appreciated that although the methods and electroformed screens disclosed herein are discussed in terms of applicability to printing electrodes for solar cells, these methods and screens can be advantageously utilized for printing narrow, high aspect ratio features (e.g., narrow features that are at least 10 times as long as wide) for any purpose.
Electroformed screens can be used for solar printing applications. For example, electroformed screens may be used for producing solar cell electrodes. In an embodiment, by placing an electroformed screen over a solar cell substrate, and flowing conductive paste through the electroformed screen, finger electrodes would be formed. This process is called printing. The electroformed screens and a metal layer define finger traces that can be as thick as 75 to 100 μm. A mesh pattern is electroformed to define the mesh pattern over the open finger traces.
Printing requirements typically differ between crystalline solar cells and thin film solar cells. Normally, crystalline solar cells require a conductive glass frit type paste fired at high temperatures. On the other hand, thin film photo panels normally require silver filled printable epoxy. The conductive paste may include silver pastes. For example, polymer based silver paste, such as epoxy based silver paste, is typically used in thin film solar cells. Polymer based silver paste may be provided by, for example, Indium Corporation. Glass frit based silver paste is commonly used for crystalline solar cells. Glass frit based silver paste may be provided by, for example, Heraeus or Dupont.
The amount of paste spread may be determined by viscosity of the conductive paste. The conductive paste may have various viscosities. Generally, low viscosity paste spreads more than high viscosity paste. To achieve small finger line width less than 100 μm, higher viscosity paste is used to promote low paste spreading. However, very high viscosity past may result in broken conductor lines. Very low viscosity paste, on the other hand, may spread too much, resulting in excessively wide print lines that block photons from striking a solar cell surface, thereby reducing solar cell efficiency.
Referring to
In an embodiment, an electroformed screen has an electroformed mesh with an electroformed build-up defining a print area. The mesh may be a hexagonal mesh. An example of this configuration is shown in
Certain electroformed screens the electrode fingers are formed differently. Instead of the hexagonal mesh pattern, narrow support bars stretch across the open fingers at a repetitive interval. In this manner, the open area can be as much as approximately 90%. As before, the first electroformed layer is of the order of 1 mil and the electroformed build-up is of the order of 1 to 2 mils. The buss electrodes may be configured the same way as the finger electrodes with support bars. In an alternative embodiment, if the buss electrodes are wide, they may have a hexagonal mesh.
In certain electroformed screen embodiments, a layer of emulsion is added on top of the electroformed image build-up area. This configuration is shown in
An example of an electroformed screen for printing electrodes on a crystalline wafer is shown in
The printing areas for crystalline solar cells and thin film solar cells are quite different, typically 25 square inches for crystalline solar cells and about 300 square inches for thin film solar cells.
In still other embodiments, finger structures can be applied to solar cells in a first pass screening, followed by a second pass screening to apply coarser features orthogonal to the finger structures. Separation of the first and second pass screening allows each screening to be optimized for simplicity, best solar cell characteristics, and cost savings, as compared to prior art apparatus and methods. These and other embodiments can also provide screens with openings in the metal about the periphery of the screen, with emulsion over the openings, to provide strain relief to features closer to the middle of the screen without printing through the openings. These embodiments are now described.
Openings 2210 are also interrupted at support bars 2240 that are located halfway between locations 2220. Support bars 2240 also allow metal of screen 2200 to traverse openings 2210, for further improved structural integrity of screen 2200. Support bars 2240 may result in corresponding breaks in finger electrodes printed through openings 2210. However, when support bars 2240 are small and are halfway between locations 2220, the resulting solar cell performance does not degrade significantly, because charge carriers in this region can easily travel the small distance through the solar cell material to either nearby finger electrode section to a corresponding, adjacent buss bar. That is, the overall resistance penalty for the solar cell when gaps are present in the finger electrode material is low when such gaps are small (in comparison to the spacing between adjacent finger structures) and are equidistant from adjacent buss bars. Support bars 2240 may be approximately as narrow as a resolution limit of the photolithography process utilized to generate screen 2200, and may be approximately as wide as spacing between adjacent finger electrodes before the resistance penalty of the resulting solar cell starts to be significant. Therefore support bars 2240 may be approximately 5 to 200 mils wide, and most likely about 10 to 20 mils wide.
When screen 2200 is utilized for printing finger electrodes, it may be advantageous to utilize the mandrel side of the screen during electroforming, as the contact side of the screen during printing. This is because the electroformed openings are typically narrowest at the mandrel during electroforming, as seen in
Step 2302 may be optimized to produce the first metal screen that is optimized for the finest possible printing, to achieve small finger electrode size. Small finger electrode size is advantageous in that it preserves the maximum area in a solar cell that can actually interact with light to produce electrical power. For example, a photoresist utilized to mask deposition of metal may be optimized to produce small features, and an overall thickness of metal that is electroplated to form the screen may be tailored for screen printing of the small features. Step 2302 of method 2300 may also include optional steps 2304, 2306, 2308 described further below.
Step 2310 of method 2300 electroforms a second metal screen with buss bar features. The second screen may vary significantly from the first screen formed in step 2302. For example, the buss bars are much coarser features than the fine finger electrodes, so the printing step that utilizes the second screen may benefit from the second screen being thicker than the first screen.
Step 2312 prints finger electrode features onto a solar cell utilizing the first screen. The finger electrodes may or may not break at the locations of the support bars corresponding to buss bar locations and equidistant from the buss bars. Step 2312 is optimized for printing fine features to reduce the area of the solar cell in which the finger electrodes block light from reaching the solar cell material. For example, step 2312 may be performed by utilizing the mandrel side of the screen during electroforming, as the contact side of the screen during printing.
Step 2314 prints buss bars onto the solar cell. Step 2312 is optimized for printing coarser features than step 2312. Since the buss bars print at the locations where support bars were placed across the printing area of the finger electrodes, the buss bars connect across any breaks that were formed at that time. As noted above, breaks that form across the finger electrode printing areas equidistant from the buss bars may have inconsequential effect on resistance of the finished solar cell. An optional step 2316 prints features to bridge breaks in the electrode features caused by support bars. Step 2316 occurs at the same time as step 2314 and simply results when the buss bar screen includes open spaces at the locations of the support bar breaks in the electrode features. An example of step 2316 is utilizing a buss bar screen that includes open spaces at locations 2250,
In embodiments, steps 2302 and 2310 form a screen generation subprocess 2320 of method 2300, and steps 2312 and 2314 form a solar cell printing subprocess 2340 of method 2300, as shown in
It has been discovered that metal screens can deform when stretched for printing, with deformation usually most notable in areas of the screen that are closest to the edges of the screen in the direction of tension.
Referring back to
Having described several embodiments, it will be recognized by those skilled in the art that various modifications, alternative constructions and equivalents may be used without departing from the spirit of the disclosure, for example, variations in sequence of steps and configuration, etc. Additionally, a number of well known mathematical derivations and expressions, processes and elements have not been described in order to avoid unnecessarily obscuring the present disclosure. Accordingly, the above description should not be taken as limiting the scope of the disclosure.
It should thus be noted that the matter contained in the above description or shown in the accompanying drawings should be interpreted as illustrative and not in a limiting sense. The following claims are intended to cover generic and specific features described herein, as well as all statements of the scope of the present method and system.
Coleman, William E., Keiser, Brad
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